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Finding the Fourth Proportional to 590.99, 886.96 and 266.38

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Solution

The fourth proportional to 590.99, 886.96 and 266.38 is: 399.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.99 : 886.96 = 266.38 : x
  2. Step 2: Convert to fraction form
    590.99/886.96 = 266.38/x
  3. Step 3: Cross multiply
    590.99x = 886.96 × 266.38
  4. Step 4: Simplify right side
    590.99x = 236,269.96
  5. Step 5: Solve for x
    x = 236,269.96/590.99
  6. Step 6: Final answer
    x = 399.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.